Question: Build C from (F^3)_2 as follows: For each (a, b, c) (F^3)_2, construct (a, b, c, x, y, z) C by taking x =

Build C from (F^3)_2 as follows: For each (a, b, c) (F^3)_2, construct (a, b, c, x, y, z) = C by taking x= a

Build C from (F^3)_2 as follows: For each (a, b, c) (F^3)_2, construct (a, b, c, x, y, z) C by taking x = a +b+c, y =a +c, z =b+c. List all the elements of C. Show that C is a linear code. Determine the parameters of C. Find a generator matrix and a parity-check matrix for C.

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